Characterisation of the parameters of maximum weight spectrum codes according to their spread
Combinatorics
2020-06-09 v1 Discrete Mathematics
Information Theory
math.IT
Abstract
We introduce the concept of spread of a code, and we specialize it to the case of maximum weight spectrum (MWS) codes. We classify two newly-defined sub-families of MWS codes according to their weight distributions, and completely describe their fundamental parameters. We focus on one of these families, the strictly compact MWS codes, proving their optimality as MWS codes and linking them to known codes.
Keywords
Cite
@article{arxiv.2006.04567,
title = {Characterisation of the parameters of maximum weight spectrum codes according to their spread},
author = {Alessio Meneghetti and Wrya K. Kadir},
journal= {arXiv preprint arXiv:2006.04567},
year = {2020}
}